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Finding the Fourth Proportional to 1,492.92, 2,060.82 and 904.02

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Solution

The fourth proportional to 1,492.92, 2,060.82 and 904.02 is: 1,247.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,492.92 : 2,060.82 = 904.02 : x
  2. Step 2: Convert to fraction form
    1,492.92/2,060.82 = 904.02/x
  3. Step 3: Cross multiply
    1,492.92x = 2,060.82 × 904.02
  4. Step 4: Simplify right side
    1,492.92x = 1,863,022.50
  5. Step 5: Solve for x
    x = 1,863,022.50/1,492.92
  6. Step 6: Final answer
    x = 1,247.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.